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Finding the Fourth Proportional to 34,470.16, 47,574 and 21,049.20

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Solution

The fourth proportional to 34,470.16, 47,574 and 21,049.20 is: 29,051.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,470.16 : 47,574 = 21,049.20 : x
  2. Step 2: Convert to fraction form
    34,470.16/47,574 = 21,049.20/x
  3. Step 3: Cross multiply
    34,470.16x = 47,574 × 21,049.20
  4. Step 4: Simplify right side
    34,470.16x = 1,001,394,640.80
  5. Step 5: Solve for x
    x = 1,001,394,640.80/34,470.16
  6. Step 6: Final answer
    x = 29,051.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.